Recursive, non-recursive systems; FIR, IIR systems

1. Is FIR filter recursive or non recursive?
2. What is recursive and non recursive systems?
3. Are FIR systems recursive?
4. Is IIR system recursive?

Is FIR filter recursive or non recursive?

In signal processing, non-recursive digital filters are often known as Finite Impulse Response (FIR) filters, as a non-recursive digital filter has a finite number of coefficients in the impulse response h[n].

What is recursive and non recursive systems?

A recursive system is a system in which current output depends on previous output(s) and input(s) but in non-recursive system current output does not depend on previous output(s).

Are FIR systems recursive?

FIR filters are called as non-recursive filters since the output signal is dependent only on the input signal; whereas, IIR filters are called as recursive filters since the output signal is dependent both on the input and output signals.

Is IIR system recursive?

Recursive filters are also called Infinite Impulse Response (IIR) filters, since their impulse responses are composed of decaying exponentials. This distinguishes them from digital filters carried out by convolution, called Finite Impulse Response (FIR) filters.